What is the acceleration of the extreme tip of the minute hand of the wall clock?

5 respuestas

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  • hace 1 mes

    How long is the minute hand?

  • hace 1 mes

    THE wall clock implies a specific clock. Let me take a large synchronous electric clock.  with a 0.2 m radius hand.  The acceleration is w^2 r = (2*pi()/3600)^2 * 0.2  ~= 6.1 * 10 ^ -7 m/s^2.  Any "escapement" clock moves in jerks and the acceleration is quite high each "tick" but there is insufficient information to know what that acceleration is.

  • Guber
    Lv 5
    hace 1 mes

    Ideally, zero.  If an object is moving at a constant velocity, then its acceleration is zero.

  • hace 1 mes

    The minute hand has a constant angular velocity

    i.e. 2π radians per hour

    Note, the hour hand also has constant angular velocity

    i.e. 2π radians per 12 hours

    or,  π/6 radians per hour

    Often, time does appear to accelerate, but this is due to my age and perspective.

    :)>

     

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  • hace 1 mes

    Is it moving at a constant angular velocity? Then it's just the centripetal acceleration.

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